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Finding the Fourth Proportional to 268.98, 371.97 and 264.12

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Solution

The fourth proportional to 268.98, 371.97 and 264.12 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 371.97 = 264.12 : x
  2. Step 2: Convert to fraction form
    268.98/371.97 = 264.12/x
  3. Step 3: Cross multiply
    268.98x = 371.97 × 264.12
  4. Step 4: Simplify right side
    268.98x = 98,244.72
  5. Step 5: Solve for x
    x = 98,244.72/268.98
  6. Step 6: Final answer
    x = 365.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.